Exam P — Probability
Random variables, distributions, joint densities, conditional probability, moment generating functions, order statistics
Actuarial Exam Preparation
Actua helps you prepare for every SOA and IFoA actuarial exam with AI that executes real math — not approximations. Ask any exam question, get step-by-step verified derivations, upload handwritten solutions for AI grading, and practice with topic-specific problem sets.
Random variables, distributions, joint densities, conditional probability, moment generating functions, order statistics
Time value of money, annuities, bonds, loans, immunization, yield curves, interest rate swaps
Credibility theory, short-term & long-term models, insurance product design, pricing fundamentals
Life contingencies, net premiums, reserves, multiple life models, pension valuation, multi-state models
Frequency-severity models, loss distributions, credibility, ratemaking, chain ladder, Bornhuetter-Ferguson
GLMs, time series, principal components, decision trees, clustering, bias-variance tradeoff
Model selection, cross-validation, communication of results, R programming, business context
Life contingencies, annuities, assurances, joint life models
Stochastic models, Black-Scholes, binomial trees, efficient markets
Probability distributions, hypothesis testing, linear models, Bayesian methods
Survival models, graduation, Markov chains, run-off triangles
Unlike flashcard apps or static textbooks, Actua is an interactive AI tutor that solves problems in real time. Type any exam question and get a complete, verified solution with every step shown in LaTeX notation. The calculations are executed by Python + SymPy — meaning every result is deterministic and reproducible, not a language model guess.
Step-by-Step mode breaks down every derivation into individual steps with full mathematical notation, perfect for understanding the methodology behind each formula.
Exam mode uses Socratic tutoring — instead of giving you the answer directly, it guides you through the problem with hints and questions, simulating exam conditions.
Handwriting OCR lets you photograph your written solutions. The AI extracts your work, grades it line by line, identifies errors, and shows the correct approach — like having a tutor review your practice papers.
5 free questions per day. No sign-up required.
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